A crane lifts a 1000 kg mass vertically to a height of 20 m in 10 s. Find the average mechanical power of the crane. Take g = 9.8 m·s⁻².
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Question

A crane lifts a 1000 kg mass vertically to a height of 20 m in 10 s. Find the average mechanical power of the crane. Take g = 9.8 m·s⁻².

G1 Physics · Accepted Answer

Step 1: The crane does work equal to increase in gravitational potential energy, W = mgh. Step 2: W = 1000 × 9.8 × 20 = 196000 J. Step 3: Average power P = W/t = 196000/10 = 19600 W. Step 4: Convert to kilowatts: 19600 W = 19.6 kW. Final answer: 19.6 kW (Option A).